The number and types of all possible rotational symmetries for flexoelectric tensors

DOI10.1098/rspa.2010.0521zbMath1228.74028OpenAlexW2103931268MaRDI QIDQ3104855

Qi-Chang He, Hung Le Quang

Publication date: 17 December 2011

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2010.0521

zbMATH Keywords

dielectric materialflexoelectricitysymmetry classflexoelectric tensor

Mathematics Subject Classification ID

Electromagnetic effects in solid mechanics (74F15) General topics in optics and electromagnetic theory (78A99)

Related Items (14)

A Timoshenko dielectric beam model with flexoelectric effect ⋮ Isotropic invariants of a completely symmetric third-order tensor ⋮ Handbook of bi-dimensional tensors: Part I: Harmonic decomposition and symmetry classes ⋮ Symmetry classes for odd-order tensors ⋮ A unified model for the dynamical flexoelectric effect in isotropic dielectric materials ⋮ Constitutive matrices for 32 typical classes of crystalline solids with couple stress, quadrupole, and curvature-based flexoelectric effects ⋮ Clips operation between type-II and type-III \(O(3)\)-subgroups with application to piezoelectricity ⋮ A variational approach of homogenization of piezoelectric composites towards piezoelectric and flexoelectric effective media ⋮ NURBS-based formulation for nonlinear electro-gradient elasticity in semiconductors ⋮ An immersed boundary hierarchical B-spline method for flexoelectricity ⋮ Flexoelectricity and apparent piezoelectricity of a pantographic micro-bar ⋮ Explicit harmonic structure of bidimensional linear strain-gradient elasticity ⋮ Symmetry classes in piezoelectricity from second-order symmetries ⋮ On weak solutions of the boundary value problem within linear dilatational strain gradient elasticity for polyhedral Lipschitz domains

Cites Work

• The closest elastic tensor of arbitrary symmetry to an elasticity tensor of lower symmetry
• Harmonic decomposition of tensors - a spectral method
• On the possibility of piezoelectric nanocomposites without using piezoelectric materials
• The description, classification, and reality of material and physical symmetries
• On the symmetries of 2D elastic and hyperelastic tensors
• Symmetry classes for elasticity tensors
• Coordinate-free characterization of the symmetry classes of elasticity tensors
• A new proof that the number of linear elastic symmetries is eight

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